Least Common Multiple of 4592 and 4598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4592 and 4598 the smallest integer that is 10557008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4592 and 4598 is 10557008.

LCM(4592,4598) = 10557008

LCM of 4592 and 4598

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4592 and 4598

LCM of 4592 and 4598 is 10557008

Least common multiple can be found by multiplying the highest exponent prime factors of 4592 and 4598. First we will calculate the prime factors of 4592 and 4598.

Prime Factorization of 4592


2 4592
2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 4592 are 2, 7,41. Prime factorization of 4592 in exponential form is:

4592 = 24×71×411

Prime Factorization of 4598


2 4598
11 2299
11 209
19 19
1

Prime factors of 4598 are 2, 11,19. Prime factorization of 4598 in exponential form is:

4598 = 21×112×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4592 and 4598.

LCM(4592,4598) = 24×71×112×191×411
LCM(4592,4598) = 10557008

Factors of 4592

List of positive integer factors of 4592 that divides 4592 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592

Factors of 4598

List of positive integer factors of 4598 that divides 4598 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598

Least Common Multiple of 4592 and 4598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4592 and 4598, than apply into the LCM equation.

GCF(4592,4598) = 2
LCM(4592,4598) = ( 4592 × 4598) / 2
LCM(4592,4598) = 21114016 / 2
LCM(4592,4598) = 10557008

Properties of LCM 4592 and 4598

(i) The LCM of 4598 and 4592 is associative

LCM of 4592 and 4598 = LCM of 4598 and 4592

Related Least Common Multiples of 4592

Related Least Common Multiples of 4598

Frequently Asked Questions on LCM of 4592 and 4598

1. What is the LCM of 4592 and 4598?

Answer: LCM of 4592 and 4598 is 10557008.

2. What are the Factors of 4592?

Answer: Factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592. There are 20 integers that are factors of 4592. The greatest factor of 4592 is 4592.

3. What are the Factors of 4598?

Answer: Factors of 4598 are 1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598. There are 12 integers that are factors of 4598. The greatest factor of 4598 is 4598.

4. How to Find the LCM of 4592 and 4598?

Answer:

Least Common Multiple of 4592 and 4598 = 10557008

Step 1: Find the prime factorization of 4592

4592 = 2 x 2 x 2 x 2 x 7 x 41

Step 2: Find the prime factorization of 4598

4598 = 2 x 11 x 11 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10557008 = 2 x 2 x 2 x 2 x 7 x 11 x 11 x 19 x 41

Step 4: Therefore, the least common multiple of 4592 and 4598 is 10557008.